105000055101056 has 128 divisors (see below), whose sum is σ = 214327642636800. Its totient is φ = 51227477683200.

The previous prime is 105000055101047. The next prime is 105000055101101. The reversal of 105000055101056 is 650101550000501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105000055101056² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293479205 + ... + 293836763.

It is an arithmetic number, because the mean of its divisors is an integer number (1674434708100).

Almost surely, 2^{105000055101056} is an apocalyptic number.

105000055101056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105000055101056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107163821318400).

105000055101056 is an abundant number, since it is smaller than the sum of its proper divisors (109327587535744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105000055101056 is a wasteful number, since it uses less digits than its factorization.

105000055101056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357998 (or 357986 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 105000055101056 in words is "one hundred five trillion, fifty-five million, one hundred one thousand, fifty-six".